Search a number
-
+
10506215466 = 2323474433797
BaseRepresentation
bin10011100100011100…
…00010000000101010
31000010012022001012100
421302032002000222
5133004042343331
64454304354230
7521232233535
oct116216020052
930105261170
1010506215466
1145015371aa
122052615976
13cb583a656
14719495a1c
15417552ae6
hex27238202a

10506215466 has 48 divisors (see below), whose sum is σ = 22886626464. Its totient is φ = 3483179232.

The previous prime is 10506215449. The next prime is 10506215483. The reversal of 10506215466 is 66451260501.

10506215466 is a `hidden beast` number, since 1 + 0 + 50 + 62 + 1 + 546 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10506215449) and next prime (10506215483).

It is a super-2 number, since 2×105062154662 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506215466.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2765080 + ... + 2768876.

It is an arithmetic number, because the mean of its divisors is an integer number (476804718).

Almost surely, 210506215466 is an apocalyptic number.

10506215466 is an abundant number, since it is smaller than the sum of its proper divisors (12380410998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10506215466 is a wasteful number, since it uses less digits than its factorization.

10506215466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10506215466 its reverse (66451260501), we get a palindrome (76957475967).

The spelling of 10506215466 in words is "ten billion, five hundred six million, two hundred fifteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 347 443 694 886 1041 1329 2082 2658 3123 3797 3987 6246 7594 7974 11391 22782 34173 68346 153721 307442 461163 922326 1317559 1383489 1682071 2635118 2766978 3364142 3952677 5046213 7905354 10092426 11858031 15138639 23716062 30277278 583678637 1167357274 1751035911 3502071822 5253107733 10506215466